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Article: Uncoupling of dynamic equations for periodic structures

TitleUncoupling of dynamic equations for periodic structures
Authors
Issue Date1990
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 1990, v. 139 n. 2, p. 253-263 How to Cite?
AbstractThis paper is aimed at providing some explanation of the physical meaning and mathematical formulation of the U-transformation method, which has found many applications in obtaining solutions for structures with periodicity properties. The U-transformation was first derived from the mode method for rotational periodic structures. The dynamic equation for cyclic periodic structures can be uncoupled in the domain of single substructure by U-transformation. It is then extended to the double U-transformation method for structures with cyclic periodicity in two directions. However, it should be noted that the method may also be applied to some one-way or two-way linear periodic structures. © 1990.
Persistent Identifierhttp://hdl.handle.net/10722/149950
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494

 

DC FieldValueLanguage
dc.contributor.authorCai, CWen_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorChan, HCen_US
dc.date.accessioned2012-06-26T06:00:44Z-
dc.date.available2012-06-26T06:00:44Z-
dc.date.issued1990en_US
dc.identifier.citationJournal Of Sound And Vibration, 1990, v. 139 n. 2, p. 253-263en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/149950-
dc.description.abstractThis paper is aimed at providing some explanation of the physical meaning and mathematical formulation of the U-transformation method, which has found many applications in obtaining solutions for structures with periodicity properties. The U-transformation was first derived from the mode method for rotational periodic structures. The dynamic equation for cyclic periodic structures can be uncoupled in the domain of single substructure by U-transformation. It is then extended to the double U-transformation method for structures with cyclic periodicity in two directions. However, it should be noted that the method may also be applied to some one-way or two-way linear periodic structures. © 1990.en_US
dc.languageengen_US
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_US
dc.relation.ispartofJournal of Sound and Vibrationen_US
dc.titleUncoupling of dynamic equations for periodic structuresen_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0025703084en_US
dc.identifier.volume139en_US
dc.identifier.issue2en_US
dc.identifier.spage253en_US
dc.identifier.epage263en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridCai, CW=7202874053en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridChan, HC=7403402425en_US

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